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A229361
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Total sum of n-th powers of parts in all partitions of 10.
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2
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192, 420, 1494, 7686, 49218, 358710, 2838234, 23736846, 206418978, 1846772550, 16877063274, 156755849406, 1474458820338, 14008019814390, 134151794416314, 1293111887664366, 12531051927887298, 121969635737464230, 1191547891970937354, 11676481763813277726
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = Sum_{k=1..10} A066633(10,k) * k^n.
a(n) = 97+41*2^n+21*3^n+13*4^n+8*5^n+5*6^n+3*7^n+2*8^n+9^n+10^n.
G.f.: -6*(79272960*x^9 -165073604*x^8 +144452636*x^7 -70246061*x^6 +21041460*x^5 -4044664*x^4 +500814*x^3 -38639*x^2 +1690*x -32) / Product_{j=1..10} (j*x-1).
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MAPLE
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a:= n-> 97+41*2^n+21*3^n+13*4^n+8*5^n+5*6^n+3*7^n+2*8^n+9^n+10^n:
seq(a(n), n=0..30);
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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